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163,984

163,984 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

163,984 (one hundred sixty-three thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 37 × 277. Written other ways, in hexadecimal, 0x28090.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
5,184
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
489,361
Square (n²)
26,890,752,256
Cube (n³)
4,409,653,117,947,904
Divisor count
20
σ(n) — sum of divisors
327,484
φ(n) — Euler's totient
79,488
Sum of prime factors
322

Primality

Prime factorization: 2 4 × 37 × 277

Nearest primes: 163,981 (−3) · 163,987 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 37 · 74 · 148 · 277 · 296 · 554 · 592 · 1108 · 2216 · 4432 · 10249 · 20498 · 40996 · 81992 (half) · 163984
Aliquot sum (sum of proper divisors): 163,500
Factor pairs (a × b = 163,984)
1 × 163984
2 × 81992
4 × 40996
8 × 20498
16 × 10249
37 × 4432
74 × 2216
148 × 1108
277 × 592
296 × 554
First multiples
163,984 · 327,968 (double) · 491,952 · 655,936 · 819,920 · 983,904 · 1,147,888 · 1,311,872 · 1,475,856 · 1,639,840

Sums & aliquot sequence

As a sum of two squares: 160² + 372² = 272² + 300²
As consecutive integers: 5,109 + 5,110 + … + 5,140 4,414 + 4,415 + … + 4,450 454 + 455 + … + 730
Aliquot sequence: 163,984 163,500 316,980 670,860 1,364,628 1,819,532 1,922,500 2,287,090 2,225,726 1,194,418 597,212 733,852 733,908 1,223,404 1,412,404 1,455,244 1,455,300 — unresolved within range

Continued fraction of √n

√163,984 = [404; (1, 18, 1, 3, 12, 1, 1, 1, 1, 16, 3, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 1, 4, 89, …)]

Representations

In words
one hundred sixty-three thousand nine hundred eighty-four
Ordinal
163984th
Binary
101000000010010000
Octal
500220
Hexadecimal
0x28090
Base64
AoCQ
One's complement
4,294,803,311 (32-bit)
Scientific notation
1.63984 × 10⁵
As a duration
163,984 s = 1 day, 21 hours, 33 minutes, 4 seconds
In other bases
ternary (3) 22022221111
quaternary (4) 220002100
quinary (5) 20221414
senary (6) 3303104
septenary (7) 1252042
nonary (9) 268844
undecimal (11) 102227
duodecimal (12) 7aa94
tridecimal (13) 59842
tetradecimal (14) 43a92
pentadecimal (15) 338c4

As an angle

163,984° = 455 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξγϡπδʹ
Chinese
一十六萬三千九百八十四
Chinese (financial)
壹拾陸萬參仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٦٣٩٨٤ Devanagari १६३९८४ Bengali ১৬৩৯৮৪ Tamil ௧௬௩௯௮௪ Thai ๑๖๓๙๘๔ Tibetan ༡༦༣༩༨༤ Khmer ១៦៣៩៨៤ Lao ໑໖໓໙໘໔ Burmese ၁၆၃၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 163984, here are decompositions:

  • 3 + 163981 = 163984
  • 5 + 163979 = 163984
  • 11 + 163973 = 163984
  • 83 + 163901 = 163984
  • 101 + 163883 = 163984
  • 113 + 163871 = 163984
  • 131 + 163853 = 163984
  • 137 + 163847 = 163984

Showing the first eight; more decompositions exist.

Unicode codepoint
𨂐
CJK Unified Ideograph-28090
U+28090
Other letter (Lo)

UTF-8 encoding: F0 A8 82 90 (4 bytes).

Hex color
#028090
RGB(2, 128, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.144.

Address
0.2.128.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.128.144

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 163,984 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 163984 first appears in π at position 826,573 of the decimal expansion (the 826,573ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.